A plane traveled 2464 miles to San Francisco from Boston. With the wind to San Francisco, it took 14 hours. Into the wind from San Francisco, back to Boston, the same trip took 16 hours. How fast is the plane traveling when there is no wind? What is the wind speed?

For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees.

Then, according to the figure we have to:

[tex]x + y + y = 180[/tex]

Where "x" represents the angle of the left side of the triangle, we have that "x" is given by:

[tex]x = 180-114\\x = 66[/tex]

So we have to:

[tex]66 + 2y = 180\\2y = 180-66\\2y = 114\\y = \frac {114} {2}\\y = 57[/tex]

Finally, "y" is equal to 57 degrees.

Answer:

Option C

The value of y in the triangle is,

⇒ y = 57 degree

For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees.

Then, according to the figure we have to:

⇒ x + y + y = 180

Where "x" represents the angle of the left side of the triangle, we have that "x" is given by:

x = 180 - 114

x = 66 degree

So we have to:

66 + 2y = 180

2y = 180 - 66

2y = 114

y = 57 degree

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I just took a quiz with this question. I got 100% and my answer to this question was 11.0.

Final answer:

To find x to the nearest tenth in the given numbers, move the decimal point ten places to the left to get -10.0.

Explanation:

Move the decimal point ten places to the left to get 0.00000000067.

When dividing by powers of 10, shift the decimal to the left by the number of zeros in the power of ten.

To find x to the nearest tenth in 11.012.9-10.0-6.3, the result would be -10.0.

Jacob bought 3 medium and 6 large pizzas for his class party, as the large pizzas were twice the amount of medium pizzas and the total number was 9.

Jacob bought a total of 9 pizzas for his class party. The condition given is that the amount of large pizzas was twice the amount of medium pizzas. Let's define the number of medium pizzas as x. Therefore, the amount of large pizzas would be 2x. Since the total number of pizzas is 9, we can write the equation x + 2x = 9. Adding the terms together gives us 3x = 9. Dividing both sides of the equation by 3, we find that x = 3. This means Jacob bought 3 medium pizzas and 2 times 3, which is 6 large pizzas for his class party.

Answer:

1. y-intercept: [0, 500]; Slope: 200

3. Graph this equation with a POSITIVE slope of 0.25 and a y-intercept of 20.

Step-by-step explanation:

The keywords in #1 are "receives [y-intercept]" and "a day [Rate of Change (Slope)]".

Answer:

Value of h is 4.5 unit.

Step-by-step explanation:

Given:

MO = 12 and PO = 2

∠N and ∠p are right angle

To find: Value of h.

In ΔMNO and ΔONP

∠MNO = ∠OPN = 90°

∠MON = ∠NOP  ( common angle)

⇒ ΔMNO and ΔONP are similar triangle by AA Similiarity criteria.

Corresponding part of similar triangles are ,

∠OMN = ∠ONP

[tex]\frac{OM}{ON}=\frac{MN}{PN}=\frac{ON}{OP}[/tex]

Consider,

[tex]\frac{OM}{ON}=\frac{ON}{OP}[/tex]

[tex]OM\times OP=ON^2[/tex] .................(1)

Now in ΔONP,

using Pythagoras Theorem

ON² = NP² + OP²

ON² = h² + 2²

ON² = h² + 4 .............(2)

From (1) and (2), we have

12 × 2 = h² + 4

h² = 24 - 4

h² = 20

[tex]h=\sqrt{20}[/tex]

[tex]h=2\sqrt{5}[/tex]

h = 2 × 2.236  ( Value of √5 is 2.236 )

h =  4.472

h = 4.5 unit

Therefore, Value of h is 4.5 unit.

____________________________________________________

Answer:

Your answer would be a) about 1.4 miles

____________________________________________________

Step-by-step explanation:

In order to solve this problem, we're going to need to round to the tenths place.

The tenths place is the decimal place to the right of the decimal.

Example: 0.54  --- 5 would be in the tenths place.

We would use the number next to it to see if we're going to round up or stay the same.

3.45 --- 4 is in the tenths place. When we look at the number next to it, 5, we would notice that it's big enough to make 4 round up. You would round 4 up to 5.

Your decimal should look like this: 3.5

1.23 --- 2 is in the tenths place. When you look at the number next to it, 3, it's not big enough for us to round it up, so we would keep the number 2 the same.

Your decimal should look like this: 1.2

0.85 --- 8 is in the tenths place. When you look at the number next to it, 5, you would see that it's big enough for you to round up, so you would round the 8 to a 9.

Your decimal should look like this: 0.9

Our rounded decimals:

3.5

1.2

0.9

Now, we have our rounded decimals. We're going to need to find how much Molly walked more than her sister and brother.

Molly walked 3.5

Her sister walked 1.2

Her brother walked 0.9

To solve that question, we would get 3.5 and subtract it with the rest of the numbers, since we are subtracting Molly's walk length to her brother and sister's combined walked length.

[tex]3.5 - 1.2-0.9= 1.4[/tex]

You should get 1.4

Therefore, Molly walked 1.4 miles more than her sister and brother combined.

A). about 1.4 miles should be your FINAL answer.

____________________________________________________

Answer:

B

Step-by-step explanation:

Answer: Option B) The y-intercept is 20. This is the cost of registration.

Given model is:  y = 15x + 20.

We compare this equation with y = mx + b.

So,

the slope = m = 15.

y-intercept = b = 20.

Given: The cost consist of a one-time registration fee. It means the fixed cost is the one-time registration fee. It will also be the y-intercept.

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Answer: 3 units

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

Answer:

192 mm

Step-by-step explanation:

Volume of rectangle = L * B * H

= 6 mm * 4 mm * 8 mm

= 192 mm

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Answer: 40%

Step-by-step explanation:

You can set up a ratio to help you solve the problem. See the paper attached. (:

The percentage of pastrami sold was 40 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Number of sandwiches sold in one day = 90

Number of pastrami in 90 sandwiches = 36

To calculate the percentage of pastrami in sandwiches , we divide the total number pastrami to the total number of sandwiches and multiply by 100

So , percentage of pastrami = ( 36 / 90 ) x 100 %

                                               = ( 4 / 10 ) x 100 %

                                               = 4 x 10 %

                                               = 40 %

Hence , The percentage of pastrami sold was 40 %

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Answer:  26.1

Step-by-step explanation:

[tex]cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos(40^o)=\dfrac{20}{BD}\\\\\\BD=\dfrac{20}{cos(40^o)}\\\\\\BD=26.1[/tex]

The correct factorization of the trinomial 8x^2 + 10x+ 3 is option B that is (4x+3)(2x+1).

It means writing several factors usually of smaller or simpler objects of the same kind.

We have been given the following trinomial.

[tex]8x^{2} +10x+3[/tex]

We need 2 numbers in between which when multiplied gives 24 and when adds give 10. The required numbers are 6 and 4.

So,

[tex]8x^{2}[/tex]+6x+4x+3

2x(4x+3)+1(4x+3)

(2x+1)(4x+3)

Hence the required factorization is (2x+1)(4x+3).

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Answer:

(B). [tex]y=9x[/tex]

Step-by-step explanation:

We have been given 4 equations. We are asked to choose an equation which has constant of proportionality equal to 9.

We know that two proportional quantities are in form [tex]y=kx[/tex], where k is constant of proportionality.

(A). [tex]y=\frac{81}{3}x[/tex]

[tex]y=27x[/tex]

We can see that value of k is 27, therefore, option A is not a correct choice.

(B). [tex]y=9x[/tex]

We can see that value of k is 9, therefore, option B is the correct choice.

(C). [tex]y=3x[/tex]

We can see that value of k is 3, therefore, option C is not a correct choice.

(D). [tex]y=\frac{1}{9}x[/tex]

We can see that value of k is 1/9, therefore, option D is not a correct choice.

ANSWER

-4.0

EXPLANATION

The given trigonometric equation is

[tex] \tan \: 45 \degree - 10 \: \cos \: 60 \degree[/tex]

From special angles or using the unit circle.

[tex]\tan \: 45 \degree = 1[/tex]

[tex] \cos \: 60 \degree = \frac{1}{2} [/tex]

We make the substitution to get:

[tex]1 - 10 ( \frac{1}{2} ))[/tex]

This simplifies to:

[tex]1 - 5 = - 4[/tex]

Hence the correct answer is -4.0

Answer: i believe its 3

Step-by-step explanation:

Answer:

The correct answer is second option

3

Step-by-step explanation:

From the figure we can see that, a circle.

The two lines from a point cut the circle.

To find the value of x

From the figure we can write, the products of parts of line segments are equal.

Therefore,

4 * 9 =  x * 12

x = (4 * 9)/12

 = 3

Therefore the correct answer s second option

x = 3

The probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39, is 96.18%

To find the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39, we need to standardize the values using the z-score formula. The z-score is calculated as (x - mean) / standard deviation. In this case, the mean proportion of registered voters who vote is 0.38 and the standard deviation is 0.0485. So, for 0.37:

z = (0.37 - 0.38) / 0.0485 = -2.0619

Using the standard normal table, we can find the area to the left of -2.0619, which is approximately 0.0191. For 0.39:

z = (0.39 - 0.38) / 0.0485 = 2.0619

Again, using the standard normal table, we can find the area to the left of 2.0619, which is approximately 0.9809.

To find the probability between 0.37 and 0.39, we subtract the smaller area from the larger area: 0.9809 - 0.0191 = 0.9618, or 96.18%.

Answer:

Equilateral, equiangular, acute

Step-by-step explanation:

Since it is an equilateral angle, then it is equiangular and its legs are congruent. Since it has no angle greater than 90º then it is not obtuse. As all angles sizes 60º their measure are equal to under to 90º, this triangle is an acute one. No 90º angle no right angle.

So, in short.

This is a(n)

Equilateral, equiangular and acute

Answer:

A

Step-by-step explanation:

If two nonadjacent angles formed by two intersecting lines = Vertical angles= congruent

Then

Two non adjacent angles formed by two intersecting lines are congruent

Answer:

a

Step-by-step explanation:

Two non adjacent angles formed by two intersecting lines are vertical angles.

The probability of a dart (thrown at random) landing in the area marked F is:

                                      1/16

We know that the probability of an outcome is defined as the chance of occurrence of an outcome and it is calculated as the ratio of number of favorable outcomes to the total number of outcomes.

We first make equal sections i.e. we divide the figure into equal sections and observe that:

A and D is made up of 4 sections.

B,C and E is made up of 2 sections.

F and G are made up of 1 section.

This means that the total number of sections are: 4+4+2+2+2+1+1=16

Hence,

Probability(landing on F)=1/16

( Since there are total 16 sections and F is made up of 1 )

Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area...  We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

To create a stem-and-leaf plot, first, we need to organize the data into stems (tens digit) and leaves (ones digit). For the given data, we can organize it as follows:

Stem | Leaf

5 | 1 3 5 5 7 8 9

6 | 0 3 6 7 9

7 | 4

8 | 4 6

9 | 0 1 2 2 8

The data is then demonstrated by a stem-and-leaf plot as follows:

51, 53, 55, 55, 57, 58, 59, 60, 63, 66, 67, 69, 74, 84, 86, 90, 91, 92, 92, 98

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Answer:

C. The number of pages in the assignment.

A  function is an expression that defines the relationship between two variables. The amount of time it takes to complete a reading assignment might be a function of the number of pages in the assignment. So, option C is correct.

A function is an expression, that states the relationship between the variables in that expression.

Ley m and n are two variables and are related to each other with a function, f(m) = n.

So, the variable m is called the independent variable and the variable n is called the dependent variable.

The given statement is "The amount of time it takes to complete a reading assignment might be a function of-"

From the options,

So, here the time is a dependent variable, and the number of pages in the assignment will be the independent variable.

Thus, option c is correct.

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Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Bag A:

White = 3

Total = 3 White + 2 Red = 5

Prob (white marble from A) = [tex]\frac{3}{5}[/tex]

Bag B:

White = 6

Total = 6 White + 3 Red = 9

Prob (white marble from B) = [tex]\frac{6}{9}[/tex]

Prob (white from Bag A and white from Bag B)

= Prob (white marble from A) x Prob (white marble from B)

= [tex]\frac{3}{5}[/tex] x [tex]\frac{6}{9}[/tex]

= [tex]\frac{2}{5}[/tex]

Answer:

18

Step-by-step explanation:

9 + 9 = 18

Answer:

It equals 18.

Step-by-step explanation:

Nine is worth 9 1's.

Nine is also worth 9 1's.

So if you count up all the 1's, it will equal 18.

Answer:

[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]

Step-by-step explanation:

Move 3x to the other side, since 3x is being moved to the other side the sign will change from a positive to a negative

[tex]-13y = -3x+2[/tex]

Divide both sides by 13

[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]

Hey there! :)

3x - 13y = 2 ; solve for y.

In order to solve for y, we must isolate it by getting it onto its own side. We can do this by subtracting 3x from both sides.

-13y = -3x + 2

Then, divide both sides by -13.

-13y ÷ -13 = (-3x + 2) ÷ -13

Simplify.

y = 3/13x - 2/13

Therefore, [tex]y = \frac{3}{13}x- \frac{2}{13}[/tex]

Hope this helped! :)

Let the Total Amount of money won in Lottery be : L

Given - Jane and Ben share the Lottery in the Ratio 7 : 3

[tex]\implies \mathsf{Jane\;share\;of\;money = \left(\dfrac{7}{7 + 3}\right) \times L}[/tex]

[tex]\implies \mathsf{Jane\;share\;of\;money = \dfrac{7L}{10}}[/tex]

Given : Jane's share of money is $5600

[tex]\mathsf{\implies \dfrac{7L}{10} = 5600}[/tex]

[tex]\mathsf{\implies L = \dfrac{56000}{7}}[/tex]

[tex]\mathsf{\implies L = 8000}[/tex]

[tex]:\implies[/tex]  Total Lottery Money = $8000

[tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{7 + 3}\right) \times 8000}[/tex]

[tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{10}\right) \times 8000}[/tex]

[tex]\implies \mathsf{Ben's\;Share = \left(3 \times 800\right)}[/tex]

[tex]\implies \mathsf{Ben's\;Share = 2400}[/tex]

Answer : Ben received $2400

Answer:

Ben's share =  $2400

Step-by-step explanation:

Ratio = 7:3

Jane's share = 7x

Ben's share = 3x

7x = 5600

x = 5600/7 = $ 800

Ben's share =  3x = 3*800 = $2400

Answer:

3.6 fl oz

Step-by-step explanation:

figure out the percentage of the gallon that was used in the original ratio, in this case 1 that was used in 1.5. thats 150%

so no multiply 2.4 by 1.5 to get 3.6

to check work divide both ratios and see if its the same number (i checked)

For 1.5 gallons of gasoline, you should add 3.6 fluid ounces of oil to maintain the required ratio of 2.4 fl oz of oil per gallon of gas.

To calculate how much oil is needed for 1.5 gallons of gasoline when the mixture requires 2.4 fl oz of oil per gallon of gasoline, one can use a simple proportion:

2.4 fl oz oil / 1 gallon of gas = x fl oz oil / 1.5 gallons of gas

Solve for x to find the amount of oil needed for 1.5 gallons of gas:

x = 2.4 fl oz oil * 1.5 gallons of gas

We can multiply 2.4 fl oz by 1.5 to get the amount of oil:

x = 3.6 fl oz oil

Therefore, you should add 3.6 fluid ounces of oil to your 1.5 gallons of gasoline to achieve the correct mixture.

Answer:

The slope of the line y=3 is 0

Step-by-step explanation:

We need to find the slope of the line y =3

the general form of the equation is

y = mx+b

where m is the slope and b is the y-intercept.

Looking at the given equation

y=3

We can write it as

y =0(x) + 3

So, the slope of the line y=3 is 0

Answer:

The slope is 0

Step-by-step explanation:

Note that [tex]y = 3[/tex] is the equation of a horizontal line that intersects the y-axis at point (0, 3).

The slope of a line is a measure of how the variable y varies when x increases or decreases. In this case, the variable y always has the same value. Therefore the slope is zero.

All horizontal lines have slope [tex]m = 0[/tex]